16. Determine the vector equation of each line.

Q: Find the area of the region enclosed by the curves  f (x)  =  7x + 3 and g(x)  =  5x + 21, and the…

A:

Q: 1. For the function y = 80 - 5x², use a simplified algebraic expression in terms of a and h to…

A: 1. For the function y = 80-5x^2, use a simplified algebraic expression in terms of a and h to…

Q: whats the answer to g'(8)

A: see below the answer and explanation

Q: Assuming that there is an unlimited demand for these products and that the manufacturer wants to…

A: Given, No. of employees available for manufacturing the parts = 12 No. of employees available for…

Q: Find the volume of the solid in the first octant bounded by the sphere x2 + y² + ² = 4, the ㅠ…

A:

Q: Mark the correct statements. i. Each level curve has a unique parameterization. ii. An inverse…

A: To find: whether the given statements in the question are true of false.

Q: Find a polynomial function with leading coefficient 1 or -1 that has the given zeros,…

A: Question -   Find a polynomial function with leading coefficient 1 or -1 that has the given zeros,…

Q: Chain Rule (Multiple independent variables) Let w(x, y, z) = √² + y² + 2² wherer = -7re', y = -te'…

A:

Q: Evaluate: 5x 2x

A:

Q: Let z(x, y) =xy where x=rcos(-40) & y =rsin(20). Әх ду Әх Ər' ar' 20 > Calculate дz dr Oz 20 amd Oz…

A:

Q: spherical balloon is being filled with air at the constant rate of 7cm3/sec. How fast is the radius…

A: Given query is to find the rate of change of radius.

Q: 1. Find the Laplace transforms for the given f(t). (h) f(t) = 3 sinh At (i) f(t) = e-2t cos 3t (j)…

A: Question - 1. Find the Laplace transforms for the given f(t).

Q: Differentiate f(t) = 1 + e (2t) 2

A:

Q: Determine dy if y=2e +3 da dy da = HP

A:

Q: 0 1 X-7 x25x + 6 dx

A:

Q: Suppose that ƒ(ï) = 14eª – exº. Find ƒ¹(3). ƒ¹(3) =

A: Given query is to find indicated derivative.

Q: Determine the derivatives, dy dz dy a.y = logg (7) → b.y = ln (2³) c.y = In (7x) → d.y = log3 (2)→…

A:

Q: Find derivative in each of the following problems (1-4) 1. y = sec² 2x 3. y=√√x²-1-sec-¹x 2. y = x²…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Divide using synthetic division. (x^(3)+8x^(2)-x+3)/(x-5) (x^(3)+8x^(2)-x+3)/(x-5)=x^(2)+13x+64,…

A: Topic = Algebra

Q: Find parametric equations for the line tangent to the curve of the intersection of the surfaces x³ +…

A:

Q: Let -2x² - xy +10y² − 15x + 12y — 22 = 0. dy dx Use partial derivatives to calculate at the point…

A:

Q: If ƒ(x) = eª + ln(2), then f'(x) = 0

A:

Q: Solve and graph the solution set. 12-2x≤2x+20 Select the correct choice below and, if necessary,…

A: Given query is to find the solution of the inequality.

Q: 3. Evaluate the following piecewise defined function at f(8), f(-1) and f(6). x² + 6x ifx 6 f(x) =

A: Topic = Function

Q: d²y dx² + 12 +35y = sin(2x), dy dx

A: Given differential equation:- d2ydx2+12dydx+35y=sin2x

Q: 5. (Use limit). Find the equation of the tangent line to the curve y = -5x² - 2x + 7 at the poi…

A:

Q: Solve by either separation of variables and homogeneous equations. dy a. (1+x³) dx = x²y, given that…

A:

Q: Consider the area between the graphs x+y=-3 and x + 9 = y². This area can be computed in two…

A: Given that the area between the graphs is x+y=-3 and x+9=y2. The area can be computed as sum if two…

Q: B) At what value(s) of x on-6 < x < 6 is the graph of g(x) increasing? Justify your answer.

A: Given f be the continuous function defined on [ -6 , 6 ]

Q: Solve. 40 +33(5) X = 73 Round to 4 decimal places.

A:

Q: Find area B above. Show your work (specific notation). Round to 3 decimal places and include units…

A: Given:  Lets assume that the given curve is quadratic in nature.  y1~ax12 + bx1 + cUsing given data…

Q: 31. Evaluate W(1-x, x, x²) (A) 2 (B) 2x (C) -2x (D) -2 32 The roots of the auxiliary equation…

A:

Q: Find the antiderivative or integral of each of the following SHOW STEP BY STEP SOLUTION 1 xsech=x²dx…

A:

Q: Find the derivative of the function. f(0) = cos(0²)

A: To find the derivative of given function

Q: If g(x) + x cos(g(x)) = x6, find g'(0). g'(0) =

A: Topic = Derivative

Q: Pls do fast and i will rate instantly for sure Solution must be in typed form Explain in your own…

A: given f(x)=4x-2.....show by red according to question  f(x) is shifted vertically 5 units means…

Q: If f(x) = 3 cos (4 ln(x)), find f'(x). Find f¹(3).

A: The function is given by fx = 3cos4lnx To determine: The expression of f'x and the value of f'3.

Q: Given the graph below, find the following: a. h(-1) = e. h(1) = i.h(3): 4 b. h(x) = f. h(x) = j.h(x)…

A: This is a problem related to step function. Please follow the procedure given below. As per Bartleby…

Q: a) Solve the following; 0 < |2x - 71 ≤5

A:

Q: Please use strong induction to prove that each integer n that is greater than 0 can be written as a…

A: INTRODUCTION Mathematical induction is a method used to prove statements about a set of positive…

Q: that, she has to draw a diagonal line that begins at the bottom-left corner and ends at the top side…

A:

Q: Determine the y coordinate of the point on the line 8-8-4 -2 +t I closest to the point (1, -2,-2).…

A: Given : let ( x , y , z ) is on line closest to given point ( 1 , -2 , -2 )

Q: The kinetic energy KE, of a body is given by KE = mv dv Where, m is the mass of the body and v is…

A: The kinetic energy of a body is given by  KE=∫0vmv dv Where, m is the mass of the body and v is the…

Q: Integrate TT y 2 x² dy dx.

A: To integrate ∫13∫24yx2 dy dx.

Q: Find the domain and range of the function.   ​G(t​)=(2)/(t^(2)-100)

A:

Q: Corey spies a bald eagle in a tall tree. He estimates the height of the tree to be 80 feet and the…

A: Here, We will use trigonometric ratios to find the desired value.

Q: Find an equation of the tangent line to the graph of the given function at the specified point. x² 1…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: A curve in the zy-plane is given by parametric functions z (t) and y (t), where d=2-In (t+t+1) and 4…

A: Given velocity function

Q: Exact

A: